Mathematics for Aircraft Structure, Guidance, Navigation, and Control

课程简介

/ Indicative Syllabus 1. Basic topology: Finite, countable, and uncountable sets; metric spaces; compact sets; perfect sets; connected sets. 2. Matrix analysis: Eigenvalues, eigenvectors, and similarity; definition of norms and inner products; properties of norms; matrix norms; singular value decomposition; Schur decomposition; the Jordan canonical form theorem. 3. Optimization: Convexity; affine and convex sets; convex function; LP weak and strong duality; optimality conditions. 4. Dynamic System and Stability: Application to linear systems theory and stability. 5. Case Studies: Optimal control, linear quadratic regulator, an air traffic control problem. -- 1 of 3 --

目标

1. To provide students with understanding and knowledge about the key mathematics in aircraft structure, guidance, and control. 2. To develop students’ capability to numerically analyze research problems from a mathematical view, for example using the matrix to represent the problem. 3. To provide students with in-depth mathematical examples of aircraft structure, guidance, and control.

先修要求

/ Co-requisite/ Exclusion Nil

Teaching Pattern

Methodology 1. The teaching and learning methods include lectures/tutorials and homework assignments. 2. The lectures/tutorials aim at providing students with integrated knowledge of mathematics in aircraft structure, guidance, and control. In-class case studies will be raised to develop student's skills in applying mathematical concepts to real engineering problems. 3. Homework assignments are used to allow students to reflect on and deepen their knowledge of a selected topic. Teaching/Learning Methodology Intended subject learning outcomes a b c d 1. Lectures/tutorials √ √ √ √ 2. Homework assignments √ √ √ √